A Nonlinear Anisotropic Diffusion Equation for Image Restoration with Forward-backward Diffusivities

被引:4
作者
Kumar, Santosh [1 ]
Kumar, Nitendra [1 ]
Alam, Khursheed [1 ]
机构
[1] Sharda Univ, Sch Basic Sci & Res, Dept Math, Noida 201310, UP, India
关键词
PDEs; image restoration; nonlinear diffusion; explicit scheme; ISNR value; low pass filter; EDGE-DETECTION; ALGORITHMS;
D O I
10.2174/2352096514666210217113500
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Background: In the image processing area, deblurring and denoising are the most challenging hurdles. The deblurring image by a spatially invariant kernel is a frequent problem in the field of image processing. Methods: For deblurring and denoising, the total variation (TV norm) and nonlinear anisotropic diffusion models are powerful tools. In this paper, nonlinear anisotropic diffusion models for image denoising and deblurring are proposed. The models are developed in the following manner: first multiplying the magnitude of the gradient in the anisotropic diffusion model, and then apply priori smoothness on the solution image by Gaussian smoothing kernel. Results: The finite difference method is used to discretize anisotropic diffusion models with forward-backward diffusivities. Conclusion: The results of the proposed model are given in terms of the improvement.
引用
收藏
页码:428 / 434
页数:7
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